contestada

Consider the following pair of equations:y = -2x + 8y = x - 1Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Respuesta :

We have the next system of equations

[tex]\begin{gathered} y=-2x+8 \\ y=x-1 \end{gathered}[/tex]

we will substitute the first equation in the second equation

[tex]-2x+8=x-1[/tex]

then we sum similar terms

[tex]\begin{gathered} -2x-x=-1-8 \\ -3x=-9 \\ x=\frac{-9}{-3} \\ x=3 \end{gathered}[/tex]

then we substitute the value of x in the second equation

y=3-1

y=2

The solution is (3,2)

Otras preguntas